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Scale 2999: "Chromatic and Permuted Diatonic Dorian Mixed"

Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Western Mixed
Chromatic and Permuted Diatonic Dorian Mixed
Zeitler
Zyrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,7,8,9,11}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3515
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2999 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3547
Scale 3547: Sadygic, Ian Ring Music TheorySadygic
3rd mode:
Scale 3821
Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
4th mode:
Scale 1979
Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic
5th mode:
Scale 3037
Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
6th mode:
Scale 1783
Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale
7th mode:
Scale 2939
Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
8th mode:
Scale 3517
Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
9th mode:
Scale 1903
Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [2999, 3547, 3821, 1979, 3037, 1783, 2939, 3517, 1903] (Forte: 9-11) is the complement of the tritonic modal family [137, 289, 529] (Forte: 3-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2999 is 3515

Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2999 is chiral, and its enantiomorph is scale 3515

Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian

Transformations:

T0 2999  T0I 3515
T1 1903  T1I 2935
T2 3806  T2I 1775
T3 3517  T3I 3550
T4 2939  T4I 3005
T5 1783  T5I 1915
T6 3566  T6I 3830
T7 3037  T7I 3565
T8 1979  T8I 3035
T9 3958  T9I 1975
T10 3821  T10I 3950
T11 3547  T11I 3805

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 2997Scale 2997: Major Bebop, Ian Ring Music TheoryMajor Bebop
Scale 2995Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 2983Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
Scale 2991Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
Scale 2967Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic
Scale 3031Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 2871Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic
Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 2487Scale 2487: Dothyllic, Ian Ring Music TheoryDothyllic
Scale 3511Scale 3511: Epolygic, Ian Ring Music TheoryEpolygic
Scale 4023Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
Scale 951Scale 951: Thogyllic, Ian Ring Music TheoryThogyllic
Scale 1975Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.